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Finding the Third Proportional to 9,791 and 21,175

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Solution

The third proportional to 9,791 and 21,175 is: 45,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791 : 21,175 = 21,175 : x
  2. Step 2: Convert to fraction form
    9,791/21,175 = 21,175/x
  3. Step 3: Cross multiply
    9,791x = 21,175 × 21,175
  4. Step 4: Simplify right side
    9,791x = 448,380,625
  5. Step 5: Solve for x
    x = 448,380,625/9,791
  6. Step 6: Final answer
    x = 45,795.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.